Harvesting dynamic aspects from a real rational map : the bulb of period 5

Cabral, João

http://hdl.handle.net/10400.3/3248

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Authors

Cabral, João

Abstract(s)

This work is a small, but strong, contribute to understand better the behavior, under iteration, of the Real Rational Map, f(x)=(x²-a)/(x²-b), with 0<b<a<1, with a and b real parameters. So, we show in this work how to choose some suitable regions of the parameter space (a,b), that allows a controlled and efficient study of this kind of maps, using some classical dynamical systems tools as the critical point orbit, Lyapunov exponents and their relation with the bifurcation diagram of the map.

Description

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Keywords

Dynamics Real Rational Maps Stability Fixed Points Bifurcation Theory Mathematic

URI

http://hdl.handle.net/10400.3/3248

Citation

Cabral, J. (2014). "Harvesting Dynamic Aspects from a Real Rational Map: The Bulb of Period 5". «Asia Online Journals: Asian Journal of Fuzzy and Applied Mathematics», 2(6), 209-213. ISSN 2321-564X.